131312918961000 has 768 divisors, whose sum is σ = 542455264915200. Its totient is φ = 29282311296000.

The previous prime is 131312918960963. The next prime is 131312918961061. The reversal of 131312918961000 is 169819213131.

131312918961000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 29 + 1 + 8 + 9 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53032587 + ... + 55453413.

It is an arithmetic number, because the mean of its divisors is an integer number (706321959525).

Almost surely, 2^{131312918961000} is an apocalyptic number.

131312918961000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131312918961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271227632457600).

131312918961000 is an abundant number, since it is smaller than the sum of its proper divisors (411142345954200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131312918961000 is a wasteful number, since it uses less digits than its factorization.

131312918961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420912 (or 2420885 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 131312918961000 in words is "one hundred thirty-one trillion, three hundred twelve billion, nine hundred eighteen million, nine hundred sixty-one thousand".